Pith Number

pith:TY5XKT5X

pith:2014:TY5XKT5X7P7VZVF3RJTLR3TOXX

not attested not anchored not stored refs pending

Limit of Green functions and ideals, the case of four poles

Duong Quang Hai, Pascal J. Thomas

arxiv:1412.0221 v1 · 2014-11-30 · math.CV · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY5XKT5X7P7VZVF3RJTLR3TOXX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:32:21.772081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3b754fb7fbff5cd4bb8a66b8ee6ebde70f7709c3360707cb5dd565bfcd1f09

Aliases

arxiv: 1412.0221 · arxiv_version: 1412.0221v1 · doi: 10.48550/arxiv.1412.0221 · pith_short_12: TY5XKT5X7P7V · pith_short_16: TY5XKT5X7P7VZVF3 · pith_short_8: TY5XKT5X

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TY5XKT5X7P7VZVF3RJTLR3TOXX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9e3b754fb7fbff5cd4bb8a66b8ee6ebde70f7709c3360707cb5dd565bfcd1f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "533ff959dd51e50e435393a5d31361d2dc2077a5179fbfb9bbdab4b13d26ce92",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-30T14:28:35Z",
    "title_canon_sha256": "eeed5bb168bfcbaa07042310e61c622203b88f2c00a77cf9b346932a5ef1e38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0221",
    "kind": "arxiv",
    "version": 1
  }
}